1. Consider the function f(x) = 4x - 2 on the interval I = [1,3]. (a) Use geometry to find the area under f on the interval I. A = (b) Estimate the area under f on the interval I using right hand endpoint approximation R5. Is your answer an underestimate or an overestimate? Circle the best answer choice. Justify your answer. R5 (c) Estimate the area under f on the interval I using left hand endpoint approximation L5. Is your answer an underestimate or an overestimate? L5 =
1. Consider the function f(x) = 4x - 2 on the interval I = [1,3]. (a) Use geometry to find the area under f on the interval I. A = (b) Estimate the area under f on the interval I using right hand endpoint approximation R5. Is your answer an underestimate or an overestimate? Circle the best answer choice. Justify your answer. R5 (c) Estimate the area under f on the interval I using left hand endpoint approximation L5. Is your answer an underestimate or an overestimate? L5 =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
please all parts and thank you!!
Transcribed Image Text:(d) Use the right hand endpoint approximation Rn to find the exact area under the curve f on the
interval I.
A
= lim Rn =
12-00
(e) Use the left hand endpoint approximation Ln to find the area under the curve f on the interval
I.
A = lim L=
11-00
(f) Use the midpoint approximation M₁ to find the area under the curve f on the interval I.
A = lim Mn
11-00
Make sure your answers in parts (d), (e), and (f) coincide with part (a).
![1. Consider the function f(x) = 4x - 2 on the interval I = [1,3].
(a) Use geometry to find the area under f on the interval I.
A =
(b) Estimate the area under f on the interval I using right hand endpoint approximation R5. Is
your answer an underestimate or an overestimate? Circle the best answer choice. Justify your
answer.
R5
(c) Estimate the area under f on the interval I using left hand endpoint approximation L5. Is your
answer an underestimate or an overestimate?
L5
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f133c63-1716-41d7-8ec5-0f87428512d1%2Fde66fc0b-5a93-4a4b-b629-eadf72879587%2Fgvby2ba_processed.png&w=3840&q=75)
Transcribed Image Text:1. Consider the function f(x) = 4x - 2 on the interval I = [1,3].
(a) Use geometry to find the area under f on the interval I.
A =
(b) Estimate the area under f on the interval I using right hand endpoint approximation R5. Is
your answer an underestimate or an overestimate? Circle the best answer choice. Justify your
answer.
R5
(c) Estimate the area under f on the interval I using left hand endpoint approximation L5. Is your
answer an underestimate or an overestimate?
L5
=
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